A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the distance between the helicopter and a car on the road is 45 m. calculate the angle of depression from the helicopter from the car.

Answers

Answer 1
Answer, 32.23°.

Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B
The distance from the helicopter to the car and the road forms a right triangle

=> ΔABC is a right triangle at B
=> the angle of depression from the helicopter from the car is ∠ACB
we have: ΔABC is a right triangle => sin ∠ACB = 24/45
=> m∠ACB = 32.23°
Answer 2

Answer:

32.33

Step-by-step explanation:


Related Questions

1.2983 rounded to nearest hundredth

Answers

Answer:

1.3000

Step-by-step explanation:

The 9 makes the 2 move to 3. Hope this helps.

Answer:

1.30

Step-by-step explanation:

its rounding to the hundredth

Write the number in standard form. 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)

Answers

Answer:

374.392

Step-by-step explanation:

3*100=300

4*10=40

7*1=7

3*(1/10)=0.3

9*(1/100)=0.09

2*(1/1000)=0.002

Put them together and you get 347.392

A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pens and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?
A.
0.05 − 1.09m + 2.79n
B.
1.05 + 1.09m + 2.79n
C.
1.05(1.09m + 2.79n)
D.
0.95(1.09m + 2.79n)

Answers

Answer:

D

Step-by-step explanation:

100% is 1-

5% is 0.05

1-0.05 = 0.95

0.95(1.09m + 2.79n)

Answer:

d

Step-by-step explanation:

In manufacturing processes, it is of interest to know with confidence the proportion of defective parts. Suppose that we want to be reasonably certain that less than 4% of a company's widgets are defective. To test this, we obtain a random sample of 250 widgets from a large batch. Each of the 250 widgets is tested for defects, and 6 are determined to be defective, based upon the manufacturer's standards. Using α = 0.01, is this evidence that less than 4% of the company's widgets are defective? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.

Answers

Answer:

Less than 4% of a company's widgets are defective.

Step-by-step explanation:

In this case we want to be reasonably certain that less than 4% of a company's widgets are defective.

The significance level of the test is, α = 0.01.

The hypothesis can be defined as follows:  

H₀: At least 4% of a company's widgets are defective, i.e. p ≥ 0.04.  

Hₐ: Less than 4% of a company's widgets are defective, i.e. p < 0.04.  

The information provided is:  

n = 250

x = 6

The sample proportion is, [tex]\hat p=\frac{x}{n}=\frac{6}{250}=0.024[/tex]

Compute the test statistic value as follows:  

 [tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\=\frac{0.024-0.04}{\sqrt{\frac{0.04(1-0.04)}{250}}}\\\\=-1.29[/tex]

The test statistic value is -1.29.  

The decision rule is:  

The null hypothesis will be rejected if the p-value of the test is less than the significance level.  

Compute the p-value as follows:  

 [tex]p-value=P(Z<-1.29)=0.0985[/tex]

So,

p-value = 0.0985 > α = 0.01.  

The null hypothesis will not be rejected at 1% significance level.  

Thus, there is not enough evidence to support the claim.

Conclusion:

Less than 4% of a company's widgets are defective.

y=x-3 somebody?? pls help i cant solve it

Answers

Answer:

x=3

Step-by-step explanation:

0=x-3

-x=-3

x=3

X=3 i can confirm that its correct

A sidewalk has an area that can be represented by the expression (8x + 24) feet. Factor the expression 8x + 24.

Answers

Answer:

x3

Step-by-step explanation:

solve the triangle a=3 b=13 c=11
A,B,C?

Answers

Answer:

uhh i dont get it

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

8x + 5y > 400

(50, 0) for x-intercept

(0,80) for y-intercept

Step-by-step explanation:

We will let x be the # of tshirts and y be the # of hats.

The inequality is 8x + 5y > 400; the coefficient 8 comes from $8 per tshirt and 5 from $5 per hats.

For x intercept, you let y = 0;

8x + 5(0) = 400;

8x = 400; divide by 8

x = 50 or (50, 0)

For y intercept, you let x = 0;

8(0) + 5y = 400;

5y = 400; divide by 5

y = 80 or (0,80)

PLEASE HELP ASAP ILL MARK BRAINLEST

Answers

Answer:

best way would be calendar

Step-by-step explanation:

then stop watch

heartbeat

finding height?

(im not totally sure because it depends what type of timekeeping you're talking about)

Write a real world story problem that would fit this situation

Answers

Answer:

what's the situation?????????

How do I solve this?

Answers

The angle next to 28x is 180-28x
In the triangle you have
(180-28x) + 48 + 16x =180
X=4

Select the correct answer.
Solve the following inequality for x.
x - 9 ≤ 2(9 - x)

A. x ≤ 9
B. x ≥ 11
C. x < -7
D. x < 10

Answers

Step-by-step explanation:

x-9≤2(9-x)

distribute

x-9≤18-2x

add 2x on both sides

3x-9≤18

add 9 on both sides

3x≤27

divide by 3

x≤9

Answer:

here is the answer verified by edmentum if anyone needs it

Step-by-step explanation:

Weekly salary: $650; earnings to date: $30,000.​

Answers

Answer:

Step-by-step explanation:

30000/650= 46.15 weeks to accumulate $30000

ss tax rate is 12.4%

Medicare rate is 0.09%

30,000*12.4%= $3720

30,000*9%= $270

Total is $3990

Per pay period is

650*12.4%= $80.60

650*9%=$58.50

Total is $139.10

All basketballs at a sporting goods store were marked down 25% during the first week of a sale. During the third week, all remaining basketballs were marked down an additional 30%. If a basketball was originally $22, how much does it cost during the third week?

Answers

Answer:

selling price= $9.9

Step-by-step explanation:

Giving the following information:

During the third week, all remaining basketballs were marked down an additional 30%.

Original price= $22

To calculate the selling price in the third week, we need to use the following formula:

selling price= original price*(1 - markdown)

selling price= 22*(0.45)

selling price= $9.9

Solve the following pair of equations simultaneously.
See image for question
Answer question (III)

Answers

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphingExpandingFinding roots of a quadraticStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define systems

2x - y = 9

4x² + 3y² - 2x + y = 16

Step 2: Rewrite systems

2x - y = 9

Subtract 2x on both sides:                    -y = 9 - 2xDivide -1 on both sides:                          y = 2x - 9

Step 3: Redefine systems

y = 2x - 9

4x² + 3y² - 2x + y = 16

Step 4: Solve for x

Substitution

Substitute in y:                         4x² + 3(2x - 9)² - 2x + (2x - 9) = 16Expand:                                    4x² + 3(4x² - 36x + 81) - 2x + (2x - 9) = 16Distribute 3:                             4x² + 12x² - 108x + 243 - 2x + 2x - 9 = 16Combine like terms:                16x² - 108x + 234 = 16Factor GCF:                              2(8x² - 54x + 117) = 16Divide 2 on both sides:           8x² - 54x + 117 = 8Subtract 8 on both sides:        8x² - 54x + 109 = 0Define variables:                      a = 8, b = -54, c = 109Resubstitute:                            [tex]x=\frac{54\pm\sqrt{(-54)^2-4(8)(109)} }{2(8)}[/tex]Exponents:                               [tex]x=\frac{54\pm\sqrt{2916-4(8)(109)} }{2(8)}[/tex]Multiply:                                    [tex]x=\frac{54\pm\sqrt{2916-3488} }{16}[/tex]Subtract:                                   [tex]x=\frac{54\pm\sqrt{-572} }{16}[/tex]

Here we see that we start to delve into imaginary roots. Since on a real number plane, we do not have imaginary roots, there would be no solution to the systems of equations.

Step 5: Graph systems

We can verify our results.

If DB = 36 and AC = 3x - 3, what is the value of x?

Answers

Answer:

A.) 13

Step-by-step explanation:

Since DB =36, and AC is the same line, then AC = 36. The new equation is 36 = 3x - 3. Do inverse operation. Add 3 to both sides of the equation: 36+3=39 & -3+3=0. New equation is 39=3x. Finally divide. 39/3= 13.

Which situations most likely involve the use of decimals? Choose more than one answer.

Counting the number of apples in a basket
Measuring a person's height in meters
Calculating the price of an item after tax
Predicting the next full moon
Comparing the batting averages of two baseball players
Estimating the weight of an elephant

Answers

Answer:

Estimating the weight of an elephant

Step-by-step explanation:

Put an elephant onto a large boat and the marker that the water rises to Minus the starting point

Lisa bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
Х
5
?
(b) Solve the equation in part (a) to find the number of books.
b=0

Answers

Answer:

She spent 17 books  

Equation: 45+6 = 51 and 51/3 = 17 books

What is 113% of 85?
96.05
0 92.08
O 83.57
O 119.26

Plz help! 10 Points!!

Answers

Answer:

96.05

Step-by-step explanation:

Answer:

96.05

Step-by-step explanation:

85 times 113

9605

divided by 100

96.05

What is the equation of the line?

y=−1/2x+1

y=−1/2x−1

y=2x−1

y=−2x+1

Answers

Y= -1/2x+1

Explanation:

Y=Mx+b
M= slope B= y-Int.

Y-intercept=1
Slope= -1/2 (Down 1(-)/(right 2(+))

Find the slope of the line that contains the points (-10,-16) and (-13,7)

Answers

Answer: -23/3

Step-by-step explanation:

M= 7+16/-13+10

the sum of a number and 6 is no less than 31​

Answers

Answer:

n + 6 > 31

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

chemical mixture is a collection of molecules or atoms of different types. A mixture is distinguished from a pure substance, which has constant composition (is composed of a only one type of molecule or atom), and a unique set of physical properties (no matter how large or small a sample is observed).

Step-by-step explanation:

Using the exchange rate £1 = $1.32, calculate how many £ are in $11.80. Give
your answer rounded to 2 dp.

Answers

Answer:

£8.94

Step-by-step explanation:

Since $1 = £1.32, you can just divide $11.80 by 1.32.

11.80/1.32 = £8.939

£8.939 rounded to 2 dp = £8.94

Answer:

If you do the math 10 euros is 13.20 USD so thats to much so take 1.00 euro away so thats 11.88 USD so its around 8.50 euro for 11.80 USD

Step-by-step explanation:

YOULL BE MADE BRAINLIEST IF YOU ANSWER CORRECTLY
Solve the proportion.
15/8=45/c
c=

Answers

Answer:

c=24

Step-by-step explanation:

15/8=45/c

15*c=45*8

15c/15=360/15

c=24

C=24 my teacher gave us this question

Percy has $70 in a savings account that earns 10% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?

Answers

21, 10 percent of 70 dollars is 7 dollar time 3 years its 21

Answer:

21 because 10%  of 70 is 7 so 7 x 3 is 21

Step-by-step explanation:

Eli wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.00. How much is Company A charging per pound of chocolate?

A. $12.80 per pound of chocolate

B. $16.25 per pound of chocolate

C. $0.07 per pound of chocolate

D. $15.75 per pound of chocolate

Answers

Answer:

A) $12.80 per pound of chocolate

Step-by-step explanation:

As, 2 1/2 pounds = 5/2 = 2.5

So for 2.5 pounds = $32

For 1 pound = 32/2.5 = 12.80

So, = 12.80

Please help fast. I don't know what to do

Answers

Answer:

\frac{30}{104}

Step-by-step explanation:

9 is the number of boys who play football AND wrestle. 18 is the mumber of footballers, and 12 is the number of wrestlers.

18 + 12, or 30, is the number of boys who EITHER play football or wrestle.

The total number of boys playing sports is 104, so 30 out of 104 boys either play football or wrestle.

You can write this in fraction form as [tex]\frac{30}{104}[/tex].

Answer:

39/143 (B)

Step-by-step explanation:

All the boys who play football, wrestle, or both equals 18 + 12 + 9 = 39

All of the boys are the boys who play football, wretle, or both (39) + the number of outlier boys, (104) = 143 boys in total.

There is a probability of 39/143 that a boy will wrestle or football.

Find the slope of each line

Answers

Answer:

The slope of the blue line is undefined

Step-by-step explanation:

This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept

Bryan earns 9$ for each hour of yard work how many hours in all will it take Bryan to earn 27$

Answers

Answer:

3 hours

Step-by-step explanation:

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